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4(v-6)+3v=-17
We move all terms to the left:
4(v-6)+3v-(-17)=0
We add all the numbers together, and all the variables
3v+4(v-6)+17=0
We multiply parentheses
3v+4v-24+17=0
We add all the numbers together, and all the variables
7v-7=0
We move all terms containing v to the left, all other terms to the right
7v=7
v=7/7
v=1
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